481294612516 has 9 divisors (see below), whose sum is σ = 842268000049. Its totient is φ = 240646612504.

The previous prime is 481294612511. The next prime is 481294612523. The reversal of 481294612516 is 615216492184.

The square root of 481294612516 is 693754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 462168828900 + 19125783616 = 679830^2 + 138296^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 481294612516.

It is not an unprimeable number, because it can be changed into a prime (481294612511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1214070 + ... + 1560946.

Almost surely, 2^481294612516 is an apocalyptic number.

481294612516 is the 693754-th square number.

It is an amenable number.

481294612516 is a deficient number, since it is larger than the sum of its proper divisors (360973387533).

481294612516 is an frugal number, since it uses more digits than its factorization.

481294612516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693758 (or 346879 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

Multiplying 481294612516 by its sum of digits (49), we get a square (23583436013284 = 4856278²).

The spelling of 481294612516 in words is "four hundred eighty-one billion, two hundred ninety-four million, six hundred twelve thousand, five hundred sixteen".